电源学报2024，Vol.22Issue(2)：19-26,8.DOI:10.13234/j.issn.2095-2805.2024.2.19
基于R-L分数阶定义的PCCM Boost变换器建模与分析
Modeling and Analysis of PCCM Boost Converter Based on Definition of R-L Fractional-order
摘要
Abstract
In this paper,a Boost converter model in the pseudo-continuous conduction mode(PCCM)of inductive cur-rent based on the definition of R-L fractional-order is studied.On this basis,the state-space averaging model of the con-verter is derived.Then,the expressions for the step-up ratio,DC static operating point,inductive current ripple,and out-put voltage ripple are derived.Results show that compared with the corresponding expressions derived on the basis of the definition of Caputo fractional-order,the derived expressions for DC static operating point and step-up ratio under the definition of R-L fractional-order are related to both the duty cycle and the orders of the capacitor and inductor.The ex-pression for output voltage ripple is not only related to the order α of fractional-order inductor,but also related to the or-der β of fractional-order capacitor.Therefore,the orders of inductor and capacitor obviously affect the DC component of state variables and the stable-state characteristics of factional-order PCCM Boost converter.Finally,a mathematical mod-el and a circuit model of the R-L fractional-order PCCM Boost converter are built in MATLAB/SIMULINK,and simula-tion results show that the analysis result of the R-L fractional-order PCCM Boost converter model is more stable than that of the other PCCM Boost model,and the corresponding error is smaller.关键词
Boost变换器/分数阶模型/电感电流伪连续模式/状态空间平均法Key words
Boost converter/fractional-order model/pseudo-continuous conduction mode of inductive current/state-space averaging method分类
信息技术与安全科学引用本文复制引用
王仁明,李啸,张赟宁..基于R-L分数阶定义的PCCM Boost变换器建模与分析[J].电源学报,2024,22(2):19-26,8.基金项目
国家自然科学基金资助项目(61603212)This work is supported by National Natural Science Foundation of China under the grant 61603212 （61603212）
